Calculus Gems
Author: George F. Simmons
Publisher: MAA
Published: 2007-08-02
Total Pages: 386
ISBN-13: 9780883855614
DOWNLOAD EBOOKDemonstrates the profound connections that join mathematics to the history of philosophy.
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Calculus Gems: Brief Lives and Memorable Mathematics
Author: George F. Simmons
Publisher: American Mathematical Soc.
Published: 2020-03-17
Total Pages: 373
ISBN-13: 147045128X
DOWNLOAD EBOOKCalculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices ("Biographical Notes" and "Variety of Additional Topics") found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, "What is mathematics for?" and in Simmons' answer, "To delight the mind and help us understand the world". The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, "Brief Lives", is a biographical history of mathematics from earliest times (Thales, 625–547 BC) through the late 19th century (Weierstrass, 1815–1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, "Memorable Mathematics", is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.
Calculus Gems
Author: George Finlay Simmons
Publisher: MAA Press
Published: 2020
Total Pages: 355
ISBN-13: 9781470451295
DOWNLOAD EBOOKCalculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices ('Biographical Notes' and 'Variety of Additional Topics') found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, 'What is mathematics for?' and in Simmons' answer, 'To delight the mind and help us understand the world'. The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, 'Brief Lives', is a biographical history of mathematics from earliest times (Thales, 625-547 BC) through the late 19th century (Weierstrass, 1815-1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, 'Memorable Mathematics', is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.
The Joy of X
Author: Steven Henry Strogatz
Publisher: Houghton Mifflin Harcourt
Published: 2012
Total Pages: 333
ISBN-13: 0547517653
DOWNLOAD EBOOKA delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."
Mathematical Sorcery
Author: Calvin C. Clawson
Publisher: Springer
Published: 2014-01-04
Total Pages: 301
ISBN-13: 1489964339
DOWNLOAD EBOOKA Brief History Of Mathematics For Curious Minds
Author: Krzysztof R Apt
Publisher: World Scientific
Published: 2023-11-17
Total Pages: 223
ISBN-13: 9811280460
DOWNLOAD EBOOKThis book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century.The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way.
Loving and Hating Mathematics
Author: Reuben Hersh
Publisher: Princeton University Press
Published: 2010-12-13
Total Pages: 429
ISBN-13: 1400836115
DOWNLOAD EBOOKAn exploration of the hidden human, emotional, and social dimensions of mathematics Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions—and inspire more love and hatred—than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment—as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.
Street-Fighting Mathematics
Author: Sanjoy Mahajan
Publisher: MIT Press
Published: 2010-03-05
Total Pages: 152
ISBN-13: 0262265591
DOWNLOAD EBOOKAn antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Mathematical Time Capsules
Author: Dick Jardine
Publisher: MAA
Published: 2011
Total Pages: 305
ISBN-13: 088385984X
DOWNLOAD EBOOKMathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.
Success with Mathematics
Author: Heather Cooke
Publisher: Psychology Press
Published: 2003
Total Pages: 191
ISBN-13: 0415298601
DOWNLOAD EBOOKThis study guide has been designed to support students studying mathematics to prepare themselves for self-directed study and provides guidance and ideas to help make their learning efficient and effective.
